The unit function \(u\)  is an arithmetical function such that \(u(n)=1\)  for all \(n\) . By \(\zeta (s)\) , we mean the Riemann Zeta function. By [1]}, we have
\(\sum \limits _{\begin{array}{c}n=1\end{array}}^{\infty } \frac{\mu (n)}{n^s}=\frac{1}{\zeta (s)}\text{ if }Re(s) > 1.\) 
